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Finding the Fourth Proportional to 32,054.08, 48,081.12 and 8,683.96

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Solution

The fourth proportional to 32,054.08, 48,081.12 and 8,683.96 is: 13,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,054.08 : 48,081.12 = 8,683.96 : x
  2. Step 2: Convert to fraction form
    32,054.08/48,081.12 = 8,683.96/x
  3. Step 3: Cross multiply
    32,054.08x = 48,081.12 × 8,683.96
  4. Step 4: Simplify right side
    32,054.08x = 417,534,522.84
  5. Step 5: Solve for x
    x = 417,534,522.84/32,054.08
  6. Step 6: Final answer
    x = 13,025.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.